Fig. 7 | Scientific Reports

Fig. 7

From: Signature of cooperativity in the stochastic fluctuations of small systems with application to the bacterial flagellar motor

Fig. 7

Parametric plot of the standard deviation of the relative occupancy, \(\sigma\), versus the mean occupancy, \(\langle \varphi \rangle\), comparing the experimental values with the theory for different values of cooperativity J (\(L=13\)). The experimental data correspond to different applied viscous loads with three different micro-particles (beads) whose diameters are indicated in the legend. The different shapes indicate that the data come from three different types of experiments, corresponding to the steady state stage: (i) after the resurrection of the motor (circles), (ii) after the stall of the motor (squares), and (iii) in the purely steady state (diamonds). Information on the experimental data is detailed in Section “Experimental data” and further elaborated upon in15,16. The dotted black line is the fit to the experimental data of the theoretical standard deviation obtained from Eq. (79). The gray shaded area is the 90% confidence window and the best-fit value is \(J = 1.21 \pm 0.22\), where 0.22 is the standard error of the nonlinear fit.

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